/edexcel/questions","basePath":"/gcse/physics/edexcel/density-and-states-of-matter/questions","formulaUrl":null,"initialIndex":74,"initialQuestionWindow":[{"id":"e574a32e-ab8c-4b6f-8255-259a3bacbbb6","revisionId":"552bc207-1f90-4c40-a22c-9418a203ab70","questionNumber":null,"questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"bf6a3f3b-56f9-44d3-9e10-2eb858def6a6","label":null,"content":"A student investigates the density of a metal cylinder and an irregular glass marble, as shown in Figure 1.\n\n![Figure 1: A metal cylinder on the left and an irregular glass marble on the right.](https://assets.mathsgenie.co.uk/aqa-qb/5408b27a-dcac-4899-b268-e0505534964c.png)\n\nThe student measures the volume of the cylinder as $18\\text{ cm}^3$.\nShe finds that the mass of the cylinder is $153\\text{ g}$.\n\nCalculate the density of the cylinder.\n\nUse the equation:\n$$\\text{density} = \\frac{\\text{mass}}{\\text{volume}}$$","markscheme":"- Substitutes given values into the density equation: $\\text{density} = \\frac{153}{18}$ M1\n- Calculates the density with units: $8.5\\text{ g/cm}^3$ A1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"density_calculation","label":"Use the density equation","steps":[{"type":"text","order":0,"title":"Identify the measurements","content":"Use the values for the **metal cylinder** only:\n\n$$m=153\\text{ g}\\qquad V=18\\text{ cm}^3$$\n\nDensity means mass in each unit volume. The mass is already in grams and the volume is already in cubic centimetres, so no unit conversion is needed.","highlights":[{"text":"The student measures the volume of the cylinder as $18\\text{ cm}^3$.","location":"specification"},{"text":"She finds that the mass of the cylinder is $153\\text{ g}$.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\text{density}=\\frac{\\text{mass}}{\\text{volume}}"},{"latex":"\\text{density}=\\frac{\\htmlData{anchor=mass}{153\\text{ g}}}{\\htmlData{anchor=volume}{18\\text{ cm}^3}}"},{"latex":"\\text{density}=\\frac{153}{18}\\text{ g/cm}^3"}],"highlights":[{"color":"sky","anchor":"mass"},{"color":"amber","anchor":"volume"}]},"order":1,"title":"Substitute the values","description":"Put mass on top and volume on the bottom of the density equation. This substitution earns the first mark."},{"type":"text","order":2,"title":"State the answer","content":"Dividing 153 by 18 gives 8.5. Writing the answer as 8.5 g/cm³ earns the second mark (A1)."}]}],"generatedAt":"2026-07-22T09:35:55.795Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"e70f5d27-3a01-4dd1-a1ab-37240c6a28d4","revisionId":"febf5646-b7dc-4fbe-8e79-422b453de03b","questionNumber":null,"questionType":"LA","specification":"","difficulty":3,"difficultyBand":"easy","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"e6409494-46c2-403e-a537-3687adecffe5","label":null,"content":"A silver ring has a mass of $14.7 \\text{ g}$.\n\nThe density, $\\rho$, of silver is $10.5 \\text{ g/cm}^3$.\n\nCalculate the volume of the silver ring.\n\nUse the equation\n\n$$\\rho = \\frac{m}{V}$$","markscheme":"- Rearranges the density equation to make volume ($V$) the subject: $V = \\frac{m}{\\rho}$ M1\n- Substitutes the given values of mass and density into the rearranged equation: $V = \\frac{14.7}{10.5}$ M1\n- Calculates the final volume to get $1.4 \\text{ cm}^3$ A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"rearrange_density","label":"Rearrange the density equation","steps":[{"type":"text","order":0,"title":"Identify the quantities","content":"The mass is $m=14.7\\text{ g}$ and the density is $\\rho=10.5\\text{ g/cm}^3$. We need the volume $V$, so the answer unit will be $\\text{cm}^3$.","highlights":[{"text":"A silver ring has a mass of $14.7 \\text{ g}$.","location":"specification

Density and states of matter

Question 47

Density and states of matter Questions

Density and states of matter

Question 47

Density and states of matter Questions